Unemployment benefits --
I have been unemployed for about six months and nearly exhausted my
'unemployment benefit'.I am thinking to go back to school for related
training to pursue a graduate degree (Master /equivalent or higher).
Could I extend the benefit with or without this education-plan?
(Price: $3.00)

You can contact your state's unemployment insurance agency to see
whether extended benefits are currently available. Here's a brief
description of extended benefits:

http://ows.doleta.gov/unemploy/extenben.asp

If you are in school and are not available to accept a full-time job,
you will probably be found ineligible for unemployment benefits.
Unemployment insurance was designed as a stopgap measure for people
who are attached to the labor market and seeking work.